Linear Algebra I & Math. Tutorial 1b
(G30 Program, Nagoya University, Fall 2023)
- Make sure that you join the TACT course for this class.
- If you have any questions on this course, please feel free to contact me at any time via email.
Materials
- Contact me if you want the materials.
- Short videos: Image of a non-linear map (notes), When is a linear map surjective/injective (notes)
- Latex Homework Template (use this if you want to submit homework done in latex)
- Videos (Fall 2020): Lecture 1, Lecture 2 , Lecture 3, Lecture 4, Lecture 5, Lecture 6, Lecture 7, Lecture 8, Lecture 9, Lecture 10, Lecture 11, Lecture 12, Lecture 13
- Some Japanese Linear Algebra words
The grading will be based on Homework (30%), Midterm exam (30%) and Final exam (40%).
Course schedule:
Lecture:
- Time: Friday 3rd period (13:00 - 14:30).
- Place: C15 (ILAS Main building)
- Time: Tuesday first half of 3rd period (13:00 -13:45).
From 13:45 - 14:30, there will be Tutorial 1a (Calculus I). - Room: A408 (Science Building A)
Week 01 (10/02-10/08): Introduction & Linear systems
Week 02 (10/09-10/15): Matrices and vectors
Week 03 (10/16-10/22): Sets and functions
Week 04 (10/23-10/29): Linear maps
Week 05 (10/30-11/05): - No lecture on 3rd November (文化の日, culture day) -
Week 06 (11/06-11/12): Linear maps in geometry
Week 07 (11/13-11/19): Midterm Exam (17th November 2023, 13:00)
-- Matrix multiplication (Lecture on Saturday November 18th, make-up day for 3rd November. This will be in Zoom (Meeting ID in TACT).
Week 08 (11/20-11/26): The inverse of a linear map
Week 09 (11/27-12/03): Subspaces, Kernel & Image
Week 10 (12/04-12/10): Subspaces, Kernel & Image II, Linear independence I
Week 11 (12/11-12/17): Linear independence II & Bases I
Week 12 (12/18-12/24): Bases II & Dimension, 🎄 22nd December: Christmath challenge 2023 in the lecture 🎄
Week 13 (12/25-12/31): 🎅 no tutorial on 26th December 🎅
☃️ Winter Vacation (12/28-01/09) ☃️
Week 14 (01/08-01/14): Coordinates (Tutorial on 9th January, Lecture on Wednesday 10th January!)
Week 15 (01/15-01/21): Orthonormal bases & The Gram-Schmidt algorithm
Week 16 (01/22-01/28): Orthogonal projection, Least square approximation
Week 17 (01/29-02/06): Final Exam (2nd February 2024, 13:00)
Last update: 2nd February 2024